Journal of Formalized Mathematics
Volume 14, 2002
University of Bialystok
Copyright (c) 2002
Association of Mizar Users
The Class of Series -- Parallel Graphs. Part I
-
Krzysztof Retel
-
University of Bialystok
Summary.
-
The paper introduces some preliminary notions
concerning the graph theory according to [18].
We define Necklace $n$ as a graph with vertex $\{1,2,3,\dots,n\}$
and edge set $\{(1,2),(2,3),\dots,(n-1,n)\}.$
The goal of the article is to prove that Necklace $n$ and Complement
of Necklace $n$ are isomorphic for $n = 0, 1, 4.$
The terminology and notation used in this paper have been
introduced in the following articles
[21]
[20]
[24]
[11]
[1]
[15]
[6]
[3]
[22]
[2]
[23]
[25]
[27]
[17]
[7]
[12]
[19]
[26]
[8]
[10]
[9]
[13]
[4]
[5]
[14]
[16]
-
Preliminaries
-
Auxiliary Concepts
-
Necklace $n$
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Received November 18, 2002
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